The apothem and side length are not consistent. That is, a decagon with an apothem of 3.8 cm cannot have a side length of 2.5 cm.
If the apothem is 3.8 cm then area = 46.9 cm2 while
if the side length is 2.5 cm then area = 48.1 cm2.
The two answers agree at the tens place and so the most accurate answer is 50 cm2 to the nearest 10.
Area of regular decagon: 0.5*3.8*2.5*10 = 47.5 square cm
378 cm ^2
A = (1/2)Pa A being the area, P being the perimeter of the regular polygon, and the apothem length being a.
A regular nonagon with a side length of 9 has an apothem of 12.4 not 16. So the question is inconsistent.
The area of a regular octagon: A = (2 x apothem)2- (length of side)2 or in this case A= (2 x 8.45)2 - 72
regular pentagon area of 12 000 m2 and an apothem of 40 m regular pentagon area of 12 000 m2 and an apothem of 40 m need to figure it out from area 12000 m2
378 cm ^2
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Area in square units = 0.5*(apothem)*(perimeter)
Area of a regular polygon equals to the one half of the product of its perimeter with the apothem. So we have: A = (1/2)(a)(P) Since our polygon has 10 sides each with length 1.2, the perimeter is 12 910 x 1.2). Substitute 12 for the perimeter, and 1.85 for the apothem in the area formula: A = (1/2)(a)(P) A = (1/2)(1.85)(12) A = 11.1 Thus, the area of the decagon is 11.1.
A = (1/2)Pa A being the area, P being the perimeter of the regular polygon, and the apothem length being a.
A regular nonagon with a side length of 9 has an apothem of 12.4 not 16. So the question is inconsistent.
309.12
The area of a regular octagon: A = (2 x apothem)2- (length of side)2 or in this case A= (2 x 8.45)2 - 72
An apothem of a regular polygon is a segment from its center to the midpoint of a side. You can use the apothem to find the area of a regular polygon using this formula: A = pa/2 where p is the perimeter of the figure and a is the apothem. For a regular octagon with side length 11, the perimeter p = 8(11) = 88. So the area would be A = 88(8.85)/2 = 389.4 square units.
regular pentagon area of 12 000 m2 and an apothem of 40 m regular pentagon area of 12 000 m2 and an apothem of 40 m need to figure it out from area 12000 m2
By Apothem LengthThe area of a regular octagon can also be computed using its measured apothem (a line from the center to the middle of any side). The formula for an octagon with side length s and apothem a is Area = a4s . (apothem times one-half the perimeter)So for this example, (8 cm and 9.66 cm) Area = (9.66)(32) = 309.12 cm2----By Side LengthThe area of a regular octagon with side length s is given as Area = 4.828427 s2 , so for a regular octagon of side length 8 cm , the area is calculated as 309.02 cm2. (indicating an error from rounding the apothem length)(This formula is generated by adding or subtracting the missing corner triangles.)
389.40